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Please help!! Given m∥n - find the value of x and y.

(x+19)°
(9x+1)°
(3y+8)°

Please help!! Given m∥n - find the value of x and y. (x+19)° (9x+1)° (3y+8)°-example-1
User Cityof
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1 Answer

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Answer: x=16, y=9

Step-by-step explanation: Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)

So the two angles add up to 180°

x+19 + 9x + 1 = 180°

combine like terms

10x + 20 = 180

subtract 20

10x = 160

divide by 10

x = 16

Now you can find the measure of the angle marked 9x+1.

9(16) + 1

= 144 + 1

= 145

Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°

3y + 8 + 145 = 180

combine like terms

3y + 153 = 180

subtract 153

3y = 27

divide by 3

y = 9

-Hope this helps! Thanks, have a good day :-)

User Derickito
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